Analysis provides estimates for expectation and variance of mixed moments in Hecke eigenforms, suggesting implications for L-functions.
In this paper, we establish estimates for the expectation and variance of the mixed $(2,2)$-moment of two Hecke eigenforms of distinct weights. Our results yield applications to triple product L-functions. The proofs are based on moments of L-functions.
No takes yet. Share an insight, caveat, or question.
Bingrong Huang (2025) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: